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<a href="_monomial_kernel_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno">    1</span><span class="comment">//===========================================================================</span><span class="comment"></span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno">    2</span><span class="comment">/*!</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno">    3</span><span class="comment"> * </span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno">    4</span><span class="comment"> *</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno">    5</span><span class="comment"> * \brief       monomial (polynomial) kernel</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno">    6</span><span class="comment"> * </span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno">    7</span><span class="comment"> * </span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno">    8</span><span class="comment"> *</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno">    9</span><span class="comment"> * \author      T.Glasmachers, O. Krause, M. Tuma</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno">   10</span><span class="comment"> * \date        2012</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno">   11</span><span class="comment"> *</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno">   12</span><span class="comment"> *</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno">   13</span><span class="comment"> * \par Copyright 1995-2017 Shark Development Team</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno">   14</span><span class="comment"> * </span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno">   15</span><span class="comment"> * &lt;BR&gt;&lt;HR&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno">   16</span><span class="comment"> * This file is part of Shark.</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno">   17</span><span class="comment"> * &lt;https://shark-ml.github.io/Shark/&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno">   18</span><span class="comment"> * </span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno">   19</span><span class="comment"> * Shark is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno">   20</span><span class="comment"> * it under the terms of the GNU Lesser General Public License as published </span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> * by the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> * </span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno">   24</span><span class="comment"> * Shark is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span><span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno">   27</span><span class="comment"> * GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno">   28</span><span class="comment"> * </span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno">   29</span><span class="comment"> * You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno">   30</span><span class="comment"> * along with Shark.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno">   31</span><span class="comment"> *</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno">   32</span><span class="comment"> */</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno">   33</span><span class="comment">//===========================================================================</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno">   34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno">   35</span><span class="preprocessor">#ifndef SHARK_MODELS_KERNELS_MONOMIAL_KERNEL_H</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno">   36</span><span class="preprocessor">#define SHARK_MODELS_KERNELS_MONOMIAL_KERNEL_H</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno">   37</span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno">   38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno">   39</span><span class="preprocessor">#include &lt;<a class="code" href="_abstract_kernel_function_8h.html" title="abstract super class of all kernel functions">shark/Models/Kernels/AbstractKernelFunction.h</a>&gt;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno">   40</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceshark.html" title="AbstractMultiObjectiveOptimizer.">shark</a> {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno">   41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno">   42</span><span class="comment"></span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno">   43</span><span class="comment">/// \brief Monomial kernel. Calculates \f$ \left\langle x_1, x_2 \right\rangle^m_exponent \f$</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno">   44</span><span class="comment">///</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span><span class="comment">/// \par</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="comment">/// The degree \f$ m_exponent \f$ is a non-trainable but configurable parameter.</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="comment">/// The default value is one - exactly the same as a LinearKernel.</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno">   48</span><span class="comment">/// \ingroup kernels</span></div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="comment"></span><span class="keyword">template</span>&lt;<span class="keyword">class</span> InputType=RealVector&gt;</div>
<div class="foldopen" id="foldopen00050" data-start="{" data-end="};">
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html">   50</a></span><span class="keyword">class </span><a class="code hl_class" href="classshark_1_1_monomial_kernel.html" title="Monomial kernel. Calculates .">MonomialKernel</a> : <span class="keyword">public</span> <a class="code hl_class" href="classshark_1_1_abstract_kernel_function.html" title="Base class of all Kernel functions.">AbstractKernelFunction</a>&lt;InputType&gt;</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno">   51</span>{</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="keyword">private</span>:</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span>    <span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_abstract_kernel_function.html" title="Base class of all Kernel functions.">AbstractKernelFunction&lt;InputType&gt;</a> <a class="code hl_class" href="classshark_1_1_abstract_kernel_function.html">base_type</a>;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno">   54</span>    </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno">   55</span>    <span class="keyword">struct </span>InternalState: <span class="keyword">public</span> <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a>{</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno">   56</span>        RealMatrix base;<span class="comment">//stores the inner product of vectors x_1,x_j which is the base the late rused pow</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno">   57</span>        RealMatrix exponentedProd;<span class="comment">//pow(base,m_exponent)</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno">   58</span>        </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno">   59</span>        <span class="keywordtype">void</span> resize(std::size_t sizeX1, std::size_t sizeX2){</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno">   60</span>            base.resize(sizeX1, sizeX2);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno">   61</span>            exponentedProd.resize(sizeX1, sizeX2);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span>        }</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span>    };</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span>    </div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno">   65</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#af6fcaf4018d03f30ff9e251418c778f0">   66</a></span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code hl_typedef" href="classshark_1_1_abstract_kernel_function.html#adbf700c2ece7236c70cef4b88777a733" title="batch input type of the kernel">base_type::BatchInputType</a> <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#af6fcaf4018d03f30ff9e251418c778f0">BatchInputType</a>;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a87125421a78aeede185a2dd7de6f6035">   67</a></span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code hl_typedef" href="classshark_1_1_abstract_kernel_function.html#a40e365cb5ec7d2776105a4aef4e78df3" title="Const references to InputType.">base_type::ConstInputReference</a> <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a87125421a78aeede185a2dd7de6f6035">ConstInputReference</a>;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">   68</a></span>    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code hl_typedef" href="classshark_1_1_abstract_kernel_function.html#af923f26f3d015156bb5ac159b302311b" title="Const references to BatchInputType.">base_type::ConstBatchInputReference</a> <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a>;</div>
<div class="foldopen" id="foldopen00069" data-start="{" data-end="}">
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a805b59b34396af06ba8460ab30c39c5b">   69</a></span>    <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a805b59b34396af06ba8460ab30c39c5b">MonomialKernel</a>():<a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>(1){</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno">   70</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdead621a9ae065d91a154055a38a7ea72f8" title="is the kernel differentiable w.r.t. its parameters?">base_type::HAS_FIRST_PARAMETER_DERIVATIVE</a>;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno">   71</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdeae4bd575af084f862f64bc665cad4c4ec" title="is the kernel differentiable w.r.t. its inputs?">base_type::HAS_FIRST_INPUT_DERIVATIVE</a>;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno">   72</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdeae04fd78a7baf17b1591cdb6ef289e8d1" title="Input arguments must have same size, but not the same size in different calls to eval.">base_type::SUPPORTS_VARIABLE_INPUT_SIZE</a>;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno">   73</span>    }</div>
</div>
<div class="foldopen" id="foldopen00074" data-start="{" data-end="}">
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a023ef4e718e15b24ee5c5f49a3670d49">   74</a></span>    <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a023ef4e718e15b24ee5c5f49a3670d49">MonomialKernel</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> n):<a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>(n){</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno">   75</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdead621a9ae065d91a154055a38a7ea72f8" title="is the kernel differentiable w.r.t. its parameters?">base_type::HAS_FIRST_PARAMETER_DERIVATIVE</a>;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno">   76</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdeae4bd575af084f862f64bc665cad4c4ec" title="is the kernel differentiable w.r.t. its inputs?">base_type::HAS_FIRST_INPUT_DERIVATIVE</a>;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno">   77</span>        this-&gt;<a class="code hl_variable" href="classshark_1_1_abstract_kernel_function.html#aa13e9ab3b8bbad9e1d773468671703e6">m_features</a> |= <a class="code hl_enumvalue" href="classshark_1_1_abstract_kernel_function.html#af54c80ca837961761506e6c2eec15bdeae04fd78a7baf17b1591cdb6ef289e8d1" title="Input arguments must have same size, but not the same size in different calls to eval.">base_type::SUPPORTS_VARIABLE_INPUT_SIZE</a>;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno">   78</span>    }</div>
</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno">   79</span><span class="comment"></span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno">   80</span><span class="comment">    /// \brief From INameable: return the class name.</span></div>
<div class="foldopen" id="foldopen00081" data-start="{" data-end="}">
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a9302dffff372e5e4600f199004900726">   81</a></span><span class="comment"></span>    std::string <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a9302dffff372e5e4600f199004900726" title="From INameable: return the class name.">name</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno">   82</span><span class="keyword">    </span>{ <span class="keywordflow">return</span> <span class="stringliteral">&quot;MonomialKernel&quot;</span>; }</div>
</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno">   83</span> </div>
<div class="foldopen" id="foldopen00084" data-start="{" data-end="}">
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a8e4923483fa0fd76bf839dd363c1854f">   84</a></span>    RealVector <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a8e4923483fa0fd76bf839dd363c1854f" title="Return the parameter vector.">parameterVector</a>()<span class="keyword"> const</span>{ </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno">   85</span>        <span class="keywordflow">return</span> RealVector(0); </div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno">   86</span>    }</div>
</div>
<div class="foldopen" id="foldopen00087" data-start="{" data-end="}">
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a7abceef7d7bc7193151948e2ca69483f">   87</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a7abceef7d7bc7193151948e2ca69483f" title="Set the parameter vector.">setParameterVector</a>(RealVector <span class="keyword">const</span>&amp; newParameters){ </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno">   88</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(newParameters.size() == 0); </div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno">   89</span>    }</div>
</div>
<div class="foldopen" id="foldopen00090" data-start="{" data-end="}">
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a418d27501dbf5ed1950293c0c670df7a">   90</a></span>    std::size_t <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a418d27501dbf5ed1950293c0c670df7a" title="Return the number of parameters.">numberOfParameters</a>()<span class="keyword"> const</span>{ </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno">   91</span>        <span class="keywordflow">return</span> 0; </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno">   92</span>    }</div>
</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno">   93</span>    <span class="comment"></span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno">   94</span><span class="comment">    ///\brief creates the internal state of the kernel</span></div>
<div class="foldopen" id="foldopen00095" data-start="{" data-end="}">
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a2f49cf121f768ed37f5c945ebe80a279">   95</a></span><span class="comment"></span>    boost::shared_ptr&lt;State&gt; <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a2f49cf121f768ed37f5c945ebe80a279" title="creates the internal state of the kernel">createState</a>()<span class="keyword">const</span>{</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno">   96</span>        <span class="keywordflow">return</span> boost::shared_ptr&lt;State&gt;(<span class="keyword">new</span> InternalState());</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno">   97</span>    }</div>
</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno">   98</span>    <span class="comment"></span></div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno">   99</span><span class="comment">    /////////////////////////EVALUATION//////////////////////////////</span></div>
<div class="foldopen" id="foldopen00100" data-start="{" data-end="}">
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#ac25c0d405fefdb44babfb412c6cf48ac">  100</a></span><span class="comment"></span>    <span class="keywordtype">double</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#ac25c0d405fefdb44babfb412c6cf48ac">eval</a>(<a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a87125421a78aeede185a2dd7de6f6035">ConstInputReference</a> x1, <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a87125421a78aeede185a2dd7de6f6035">ConstInputReference</a> x2)<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno">  101</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(x1.size() == x2.size());</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno">  102</span>        <span class="keywordtype">double</span> prod=inner_prod(x1, x2);</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno">  103</span>        <span class="keywordflow">return</span> std::pow(prod,<a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno">  104</span>    }</div>
</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno">  105</span>    </div>
<div class="foldopen" id="foldopen00106" data-start="{" data-end="}">
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a1861472ddfd8b3c9e5b97d36cd8e9c25">  106</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a1861472ddfd8b3c9e5b97d36cd8e9c25">eval</a>(<a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX1, <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX2, RealMatrix&amp; result)<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno">  107</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno">  108</span>        std::size_t sizeX1 = batchX1.size1();</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno">  109</span>        std::size_t sizeX2 = batchX2.size1();</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno">  110</span>        result.resize(sizeX1,sizeX2);</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>        noalias(result) = prod(batchX1,trans(batchX2));</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>        <span class="keywordflow">if</span>(<a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a> != 1)</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>            noalias(result) = pow(result,<a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>);</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span>    }</div>
</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span>    </div>
<div class="foldopen" id="foldopen00116" data-start="{" data-end="}">
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a0c72dc55c7aac6aa0399eae657f2a0cd">  116</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a0c72dc55c7aac6aa0399eae657f2a0cd">eval</a>(<a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX1, <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX2, RealMatrix&amp; result, <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a>&amp; state)<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno">  118</span>        std::size_t sizeX1 = batchX1.size1();</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>        std::size_t sizeX2 = batchX2.size1();</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>        result.resize(sizeX1,sizeX2);</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno">  121</span>        </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno">  122</span> </div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno">  123</span>        InternalState&amp; s = state.<a class="code hl_function" href="structshark_1_1_state.html#a9847e65e063245c6b02371c8b84f8da3" title="Safely downcast State to it&#39;s derived type.">toState</a>&lt;InternalState&gt;();</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno">  124</span>        s.resize(sizeX1,sizeX2);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>        </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span>        <span class="comment">//calculate the inner product</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span>        noalias(s.base) = prod(batchX1,trans(batchX2));</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span>        <span class="comment">//now do exponentiation</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno">  129</span>        <span class="keywordflow">if</span>(<a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a> != 1)</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno">  130</span>            noalias(result) = pow(s.base,<a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>);</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno">  131</span>        <span class="keywordflow">else</span></div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno">  132</span>            noalias(result) = s.base;</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno">  133</span>        <span class="comment">//store also in state</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno">  134</span>        noalias(s.exponentedProd) = result;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno">  135</span>            </div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno">  136</span>    }</div>
</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno">  137</span>    <span class="comment"></span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno">  138</span><span class="comment">    ////////////////////////DERIVATIVES////////////////////////////</span></div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno">  139</span><span class="comment"></span>    </div>
<div class="foldopen" id="foldopen00140" data-start="{" data-end="}">
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#af53223d5bb25bf94a54da39fe32a50da">  140</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#af53223d5bb25bf94a54da39fe32a50da">weightedParameterDerivative</a>(</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno">  141</span>        <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX1, </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno">  142</span>        <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX2, </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span>        RealMatrix <span class="keyword">const</span>&amp; coefficients,</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span>        <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a> <span class="keyword">const</span>&amp; state, </div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span>        RealVector&amp; gradient</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno">  146</span>    )<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>        gradient.resize(0);</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>    }</div>
</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno">  150</span>    </div>
<div class="foldopen" id="foldopen00151" data-start="{" data-end="}">
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#afbcbbc68770e4ffe79cfdec7254598c6">  151</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#afbcbbc68770e4ffe79cfdec7254598c6">weightedInputDerivative</a>( </div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span>        <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX1, </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span>        <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#a94d3c34af6d70e991fc2090acaf3c4d4">ConstBatchInputReference</a> batchX2, </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span>        RealMatrix <span class="keyword">const</span>&amp; coefficientsX2,</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno">  155</span>        <a class="code hl_struct" href="structshark_1_1_state.html" title="Represents the State of an Object.">State</a> <span class="keyword">const</span>&amp; state, </div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>        <a class="code hl_typedef" href="classshark_1_1_monomial_kernel.html#af6fcaf4018d03f30ff9e251418c778f0">BatchInputType</a>&amp; gradient</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>    )<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno">  158</span>        </div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno">  159</span>        std::size_t sizeX1 = batchX1.size1();</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno">  160</span>        std::size_t sizeX2 = batchX2.size1();</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>        gradient.resize(sizeX1,batchX1.size2());</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>        InternalState <span class="keyword">const</span>&amp; s = state.<a class="code hl_function" href="structshark_1_1_state.html#a9847e65e063245c6b02371c8b84f8da3" title="Safely downcast State to it&#39;s derived type.">toState</a>&lt;InternalState&gt;();</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>        </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span>        <span class="comment">//internal checks</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(batchX1.size2() == batchX2.size2());</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.base.size1() == sizeX1);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.base.size2() == sizeX2);</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno">  168</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.exponentedProd.size1() == sizeX1);</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>        <a class="code hl_define" href="_exception_8h.html#a42a6a50e4d06c00d60fbca5333f40768">SIZE_CHECK</a>(s.exponentedProd.size2() == sizeX2);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>        </div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span>        <span class="comment">//first calculate weights(i,j) = coeff(i)*exp(i,j)/prod(i,j)</span></div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span>        <span class="comment">//we have to take the usual division by 0 into account</span></div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span>        RealMatrix weights = coefficientsX2 * safe_div(s.exponentedProd,s.base,0.0);</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span>        <span class="comment">//The derivative of input i of batch x1 is </span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno">  175</span>        <span class="comment">//g = sum_j m_exponent*weights(i,j)*x2_j</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>        <span class="comment">//we now sum over j which is a matrix-matrix product</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>        noalias(gradient) = <a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a> * prod(weights,batchX2);</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>    }</div>
</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span>    </div>
<div class="foldopen" id="foldopen00180" data-start="{" data-end="}">
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a098d0c0241648053542bc4ef4dd77acf">  180</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a098d0c0241648053542bc4ef4dd77acf" title="From ISerializable, reads a metric from an archive.">read</a>(<a class="code hl_typedef" href="namespaceshark.html#ada68729491840669e47c8ad42282424f" title="Type of an archive to read from.">InArchive</a>&amp; ar){</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span>        ar &gt;&gt; <a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>;</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span>    }</div>
</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno">  183</span> </div>
<div class="foldopen" id="foldopen00184" data-start="{" data-end="}">
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a8c3df4441eb82c4a0bfcdbe97e6ce758">  184</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="classshark_1_1_monomial_kernel.html#a8c3df4441eb82c4a0bfcdbe97e6ce758" title="From ISerializable, writes a metric to an archive.">write</a>(<a class="code hl_typedef" href="namespaceshark.html#af4f8eb8e9618f5236b71bbcb12b8a524" title="Type of an archive to write to.">OutArchive</a>&amp; ar)<span class="keyword"> const</span>{</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>        ar &lt;&lt; <a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>;</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>    }</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span> </div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span><span class="keyword">protected</span>:<span class="comment"></span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span><span class="comment">    ///the exponent of the monomials</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"><a class="line" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed">  190</a></span><span class="comment"></span>    <span class="keywordtype">int</span> <a class="code hl_variable" href="classshark_1_1_monomial_kernel.html#a92c62fd356e835514461b56f474aa8ed" title="the exponent of the monomials">m_exponent</a>;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span>};</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno">  192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"><a class="line" href="namespaceshark.html#a7c62019e733019a218277a3bf0e575d5">  193</a></span><span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_monomial_kernel.html" title="Monomial kernel. Calculates .">MonomialKernel&lt;&gt;</a> <a class="code hl_typedef" href="namespaceshark.html#a7c62019e733019a218277a3bf0e575d5">DenseMonomialKernel</a>;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"><a class="line" href="namespaceshark.html#a30f353e45c9c924d3c61f9c6b56454ce">  194</a></span><span class="keyword">typedef</span> <a class="code hl_class" href="classshark_1_1_monomial_kernel.html" title="Monomial kernel. Calculates .">MonomialKernel&lt;CompressedRealVector&gt;</a> <a class="code hl_typedef" href="namespaceshark.html#a30f353e45c9c924d3c61f9c6b56454ce">CompressedMonomialKernel</a>;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno">  195</span> </div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno">  196</span> </div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno">  197</span>}</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno">  198</span><span class="preprocessor">#endif</span></div>
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